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The purpose of the article is to analyze the behavior of spacetime using a string cloud energy-momentum tensor T having string cloud fluid density ρ and string tension λ, named relativistic string cloud spacetime. We obtain some results for string cloud spacetime with a divergence-free matter tensor and a diminishing space matter tensor. Next, we discuss some curvature characteristics, such as conformally flat, Ricci semi-symmetric and pseudo-Ricci-symmetric, for relativistic string cloud spacetime. In addition, we gain a condition that coincides with the equation of state for the cloud of geometric strings in Ricci semi-symmetric string cloud spacetime.
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Siddiqi et al. (2023) studied this question.
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